Prepotential approach to Quasinormal modes

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Title:	Prepotential approach to Quasinormal modes
Authors:	Ho, Choon-Lin
Contributors:	淡江大學物理學系
Keywords:	Prepotential;Quasinormal modes;Exact and quasi-exact solvabilities
Date:	2011-06-01
Issue Date:	2013-04-29
Publisher:	Maryland Heights: Academic Press
Abstract:	In this paper we demonstrate how the recently reported exactly and quasi-exactly solvable models admitting quasinormal modes can be constructed and classified very simply and directly by the newly proposed prepotential approach. These new models were previously obtained within the Lie-algebraic approach. Unlike the Lie-algebraic approach, the prepotential approach does not require any knowledge of the underlying symmetry of the system. It treats both quasi-exact and exact solvabilities on the same footing, and gives the potential as well as the eigenfunctions and eigenvalues simultaneously. We also present three new models with quasinormal modes: a new exactly solvable Morse-like model, and two new quasi-exactly solvable models of the Scarf II and generalized Pöschl-Teller types.
Relation:	Annals of Physics 326(6), pp.1394–1407
DOI:	10.1016/j.aop.2010.11.020
Appears in Collections:	[Graduate Institute & Department of Physics] Journal Article

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